Abstract
We explain two exotic systems of classical mechanics: the McIntosh-Cisneros-Zwanziger (“MICZ”) Kepler system, of motion of a charged particle in the presence of a modified dyon; and Gibbons and Manton's description of the slow motion of well-separated solitonic (“BPS”) monopoles using Taub-NUT space. Each system is characterized by the conservation of a Laplace-Runge-Lenz vector, and we use elementary vector techniques to show that each obeys a subtly different variation on Kepler's three laws for the Newton-Coulomb two-body problem, including a new modified Kepler third law for BPS monopoles.
Original language | English |
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Pages (from-to) | 47-52 |
Number of pages | 6 |
Journal | American Journal of Physics |
Volume | 83 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2015 |